Presidential Elections: Gingrich Renews Vow to Campaign Until Convention. Despite an easy victory by GOP front-runner Mitt Romney, former House speaker Newt Gingrich swatted aside any talk of a withdrawal after the Nevada caucuses Saturday. Gingrich says he’ll campaign until the party convention this summer. (Feb. 4). Presidential Elections – Gingrich Presidential GOP Convention : campaign commercials and 2012 GOP presidential political election campaign commercials, showing 2012 Republican Presidential candidates, election news, GOP primaries, fundraiser, together with election announcement.